A shrink-fit ring, the two circumferential edges (10) of which are flanged, makes it possible to use thinner band thicknesses without the risk of buckling owing to its greater intrinsic strength. The circumferential edges (10) end in limbs (16) which point radially outwards and enclose an angle of approx. 70° to 90° with an unflanged centre portion (13) of the ring that is located axially further inwards. The flanging results in an extension of the diameter of the ring edges, wherein the ring edge regions (14) are bent outwards in a rounded manner and the edge surfaces (11) run at an angle of preferably approx. 0° to approx. 20° with respect to the ring axis (12).